Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328bk |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-38310279168 = -1 · 211 · 3 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -5 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-12564] |
[a1,a2,a3,a4,a6] |
j |
-235298/159 |
j-invariant |
L |
0.43568335808881 |
L(r)(E,1)/r! |
Ω |
0.43568336005968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bs1 1272b1 |
Quadratic twists by: -4 -7 |